Encyclopedia > Equivalent rectangular bandwidth

  Article Content

Equivalent rectangular bandwidth

The equivalent rectangular bandwidth or ERB is a measure used in psychoacoustics.

Researchers have derived a differential equation giving the ERB value <math>v</math> in Hz of a human auditory filter with a center frequency of <math>f</math> kHz

<math>\frac{df}{dv} = 6.23 \cdot f^2 + 93.39 \cdot f + 28.52</math>

Solving this equation gives roughly the following relation between the ERB value <math>v</math> and the frequency <math>f</math> in Hz:

<math>v = 11.17268 \cdot \log\left(1 + \frac{46.06538 \cdot f}{f + 14678.49}\right)</math>
Or the converse:
<math>f = \frac{676170.4}{47.06538 - e^{0.08950404 \cdot v}} - 14678.49</math>



All Wikipedia text is available under the terms of the GNU Free Documentation License

 
  Search Encyclopedia

Search over one million articles, find something about almost anything!
 
 
  
  Featured Article
Johann Karl Friedrich Rosenkranz

... (1848) Aesthetik des Hässlichen (1853) Die Poesie and ihre Geschichte (1885) Studien (1839-47) Neue Studien (1875-78). He published also an autobiography entitled ...

 
 
 
This page was created in 33.9 ms